The present study investigates existence and uniqueness of solution of local problems for the degenerate parabolic-hyperbolic type equations with loaded terms involving a trace of solution in Atangana-Baleanu operators. Because, the trace of solution (i.e. u(x, 0) ) is in Atangana-Baleanu operators and hyperbolic type equation degenerates on the line y = 0, we use some properties and estimations of hyper-geometric functions on the proofing process of the uniqueness and existence of solution of the investigated problem.
Digital Object Identifier (DOI)
Kh. Abdullaev, Obidjon
"Some Problems for the Degenerate Mixed Type Equation Involving Caputo and Atangana-Baleanu Operators Fractional Order,"
Progress in Fractional Differentiation & Applications: Vol. 6
, Article 10.
Available at: https://dc.naturalspublishing.com/pfda/vol6/iss2/10